No, as far as I've experienced it so far, it is only the moment you throw fiat money into the mix.

I can (and am) still depositing FTC, LTC, etc from mining, and trading happily for others - the hold they have set up is preventing me sending ANY of those digital currencies to any other wallet address.

I too got the canned response today:
<<
Our bank ask you provide a copy of you ID and utility bill in high res quality (>300DPI) due to high fraud activity.
Attach here.
>>

I reminded them once again that I had already supplied the documents as requested 11 days ago, but gave them new copies. But nothing has changed so far.. except the counter: Money hold. 39657 min left